Saka, Koichi Besov spaces and Sobolev spaces on a nilpotent Lie group. (English) Zbl 0429.43004 Tohoku Math. J., II. Ser. 31, 383-437 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 40 Documents MSC: 43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc. 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 22E25 Nilpotent and solvable Lie groups Keywords:Besov space; Sobolev space; nilpotent Lie group; Poisson semigroup; diffusion semigroup; fractional power of operators Citations:Zbl 0312.35026; Zbl 0154.161; Zbl 0168.107; Zbl 0234.35032 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] J. BERGH AND J. LOFSTROM, Interpolation Spaces, Springer-Verlag, 1976. · Zbl 0344.46071 [2] A. P. CALDERON, Intermediate spaces and interpolation, the complex method, Studi Math. 24 (1964), 113-190. · Zbl 0204.13703 [3] T. M. 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